Bitcoin Unlimited is doomed now that
I've shown it is based on faulty math. This is fundamental and the entire concept of unlimited block size is flawed. Once the market digests my revelation
This is an illusion. Markets don't digest mathematical revelations.
I think that the problem with the analysis is that you don't know the elasticity of the demand for transactions. The mathematics makes the assumption of fees independent of the pressure on the fee market. But the game is much more complicated than that: you have miners that set their own secret limits on the blocs on which they will build, and the blocs they will try to orphan, while they have their own other secret limits on the blocs they will make themselves.
In your math, you presume that network transaction time is important, but for the moment, this is not the case. By the time it is the case, that it, by the time that blocs will be so big that it is network capacity that limits time, and not the mining time itself, bitcoin will probably be gone since long. Because miners have mutual interest in improving the network links between them. If they put 100 GB/s optical links between their nodes, before transmission times become important as compared to their own average bloc mining times (multiples of 10 min), you get an idea of the bloc sizes we're talking about !
As long as bloc transmission times are small as compared to local bloc finding times, network resources do not play a significant role. What plays a much bigger role is the (in)elasticity of user demand for transactions.
The battle will be a complex dynamics of secret orphaning sizes and own sizes. There's a contradictory force: own advantage, which is to MAKE bigger blocs, and collective advantage, which is to make smaller blocs, and trying to guess how big is the chance that by you orphaning a big bloc, you are in fact making an orphaned bloc yourself on top of it, or you will inspire others to join you.
In other words, totally undefined consensus
Big fun. That said, most probably, there will be simply a slow divergence in the bloc size that is generally accepted ; miners may now and then try a few bigger ones, and if they get accepted, this becomes the new size, so essentially the fee market gets relaxed.
Most probably, they will make 1 MB blocs for a while, then some will try 1.1 MB blocs. If that passes, most will make 1.1 MB blocs, until some try 1.2 MB blocs. And so on. One will most probably not come back down. So during times of high transaction rates, the bloc sizes will increase because miners are greedy, and then this new limit will stay there until there's another campaign of spam, moving the bloc limits so high that it usually doesn't matter.